Question

x:y=3:4,y:z=5:6,z:w=7:8 what is ratio x:y:z:w​

Answer 1

Step-by-step explanation:

X : Y : Z

3 : 4

5 : 6

=> 15 : 20 : 24

(multiply x:y with 5 and y:z with 4)

also

X : Y : Z : W

15 : 20 : 24

7 : 8

=> 105 : 140 : 168 : 192

Answer 2

Answer:

The correct answer is : 105 : 140 : 168 : 192

Step-by-step explanation:

To find the ratio of x:y:z:w, we will first find the value of y, z, and w in terms of x.

From the first equation, we have:

x/y = 3/4

y = 4x/3 --(i)

From the second equation, we have:

y/z = 5/6

Substituting value of y from equation (i).

z = 6y/5 = (6/5)*(4x/3) = 8x/5  --(ii)

From third equation, we have:

z/w = 7/8

Substituting value of y from equation (ii).

w = 8z/7 = (8/7)*(8x/5) = 64x/35  --(iii)

So, the ratio of x:y:z:w is:

Substituting value of y, z, w from equation (i), (ii) and (iii) respective.

= x : 4x/3 : 8x/5 : 64x/35

= 105x : 140x : 168x : 192x

= 105 : 140 : 168 : 192

Therefore, the ratio of x:y:z:w is 105 : 140 : 168 : 192

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